This question involves the concepts of tension, weight, and centripetal force.
The maximum speed, the mass can have before the string breaks is "10.26 m/s".
First, we will find the maximum tension force:
Tension = Weight
T = W = mg = (32.4 kg)(9.81 m/s²)
T = 317.84 N
Now, this tension force must be equal to the centripetal force:

where,
v = maximum speed = ?
r = radius = 1.21 m
m = mass = 3.65 kg
Therefore,

<u>v = 10.26 m/s</u>
Learn more about centripetal force here:
brainly.com/question/11324711?referrer=searchResults
The attached picture shows the centripetal force.
Answer:
-20.158ft-lb
Explanation:
Check the attached files for the explanation.
F=-ks
F=-(390)(.45)
F=-175.5 N
Work=force x displacement
Work= 175.5(0.45)
Work= 78.98 J
Work = ∆E =78.98 J
Answer=79J (first option)
Answer: The handle of a frying pan on the stove
Explanation: Convection is the heat transfer done by the movement of a fluid, or the molecules on it. This can happen by the change on density from fluids, when a fluid tempeture rise, it expands, rising his volumen and decreasing his density. When this happens the fluid becomes lighter, so it moves.
The handle of a frying pan gets hotter but no molecular movement is done. It is between the same material there is a energy transfer from the source to the rest of the pan. This is called Conduction.
Food has calories which feeds your bones in your body from eating away your muscles, it doesn’t have “energy” on the other hand pop and drinks do.